James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and it will cost $28,000 per year. He will go to school full time and will not be able to work. Upon graduation, James' new salary will be $56,000 per year. How many years will it take James to recover his investment?

Verified Answer :

It will take 2.5 years for James to recover his investment.

Further explanation

Given:

From the above problem, we get these information

- James' current salary is $42000/year

- His college's tuition fee is $ 28000/year

- It takes 2 years to complete his degree

- Salary after finish degree is $ 56000

Question:

How many years will it take James to recover his investment?

James' investment would be his college's tuition fee for 2 years and the salary that he should get while away from work for 2 years.

Those statement can be write down:

investment = 2 years tuition + 2 years salary

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so the total investment is $ 140000

After finished study, James salary would be $56000/year, so the investment will recover in

\(\boxed {\frac{140000}{56000} = 2.5 years }\)

hence, the investment will recover in 2.5 years.

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Keywords: investment, college investment, recover investment, salary, tuition fee

To recover the investment James will take \(\boxed{2.5{\text{ years}}}.\)


Further Explanation:


Given:

The current salary of James is \(\$ 42000.\)

The time taken to complete the college degree is \(2{\text{ years}}.\)

The cost of the college degree is \(\$ 28000.\)

The James’ new salary after college degree will be \(\$ 56000.\)


Calculation:

The total investment of James can be calculated as follows,

\(\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}\)

The total investment for 2 years will be \(\$ 140000.\)


The James’ new salary after college degree will be \(\$ 56000.\)

The time taken by James to recover \(\$ 140000.\)

\(\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}\)


To recover the investment James will take \(\boxed{2.5{\text{ years}}}.\)


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Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return


Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.